LONG-RANGE POTENTIAL AND TWO GLUINO BOUND STATES

1987 ◽  
Vol 02 (03) ◽  
pp. 183-191 ◽  
Author(s):  
S. GHOSH ◽  
A.K. ROY ◽  
S. MUKHERJEE
Keyword(s):  
Wave Function ◽  
Long Range ◽  
General Class ◽  
Bound States ◽  
Potential Model ◽  
Confining Potential ◽  
Range Potential ◽  
Decay Widths

The effect of the long-range confining potential on the two gluino bound states has been studied in a particular potential model. Some useful inequalities for the value of the wave function at the origin, [Formula: see text] have been derived for a more general class of potentials. The results will be useful for estimating various decay widths.

Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

2015 ◽  
Vol 70 (7) ◽  
pp. 499-505 ◽  
Author(s):  
Zahra Sharifi ◽  
Fateme Tajic ◽  
Majid Hamzavi ◽  
Sameer M. Ikhdair
Keyword(s):  
Wave Function ◽  
Magnetic Fields ◽  
Ground State ◽  
Bound States ◽  
State Energy ◽  
Potential Model ◽  
Energy Levels ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Ansatz Method

AbstractThe Killingbeck potential model is used to study the influence of the external magnetic and Aharanov–Bohm (AB) flux fields on the splitting of the Dirac energy levels in a 2+1 dimensions. The ground state energy eigenvalue and its corresponding two spinor components wave functions are investigated in the presence of the spin and pseudo-spin symmetric limit as well as external fields using the wave function ansatz method.

scholarly journals DESCRIBING RECENTLY DISCOVERED NARROW STATES AS QUARKONIA USING A POTENTIAL MODEL

2005 ◽  
Vol 20 (16) ◽  
pp. 3774-3776 ◽  
Author(s):  
STANLEY F. RADFORD ◽  
WAYNE W. REPKO
Keyword(s):  
Long Range ◽  
Short Distance ◽  
Bound States ◽  
Potential Model ◽  
Linear Potential

We examine to what extent several recently discovered narrow resonances can be interpreted as conventional [Formula: see text] bound states describable using a potential model. In doing so, we use a semirelativistic approach, which includes both the v2/c2 and QCD one-loop corrections to the short distance potential and a long range linear potential together with its scalar and vector v2/c2 spin-dependent terms.

scholarly journals Long-Range-Potential Model of Hadrons

1972 ◽  
Vol 6 (12) ◽  
pp. 3538-3542 ◽  
Author(s):  
H. Suura
Keyword(s):  
Long Range ◽  
Potential Model ◽  
Range Potential

scholarly journals LEPTONIC DECAY OF HEAVY–LIGHT MESONS IN A QCD POTENTIAL MODEL

2013 ◽  
Vol 28 (02) ◽  
pp. 1350010 ◽  
Author(s):  
KRISHNA KINGKAR PATHAK ◽  
D. K. CHOUDHURY ◽  
N. S. BORDOLOI
Keyword(s):  
Wave Function ◽  
B Mesons ◽  
Potential Model ◽  
Branching Ratio ◽  
Leptonic Decay ◽  
Decay Constants ◽  
Decay Widths ◽  
Mesonic Wave Function ◽  
Experimental Values ◽  
The Masses

We study the masses and decay constants of heavy–light flavor mesons D, Ds, B and Bs in a QCD potential model. The mesonic wave function is used to compute the masses of D and B mesons in the ground state and the wave function is transformed to momentum space to estimate the pseudoscalar decay constants of these mesons. The leptonic decay widths and branching ratio of these mesons for different leptonic channels are also computed to compare with the experimental values. The results are found to be compatible with available data.

On charmonium decays

1981 ◽  
Vol 59 (12) ◽  
pp. 1944-1947 ◽  
Author(s):  
D. Parashar
Keyword(s):  
Experimental Data ◽  
Bound States ◽  
Potential Model ◽  
Decay Rates ◽  
Hadronic Decay ◽  
Confining Potential ◽  
S States

The decay rates of charmonium ([Formula: see text]bound states) are studied in the context of a simple quark confining potential model proposed earlier. In particular, we calculate the leptonic and hadronic decay rates of the S-states and a comparison is made with the available experimental data. The model prescriptions are then applied to predict the decay rates of the P-states of charmonium which are found to be consistent with other theoretical expectations.

scholarly journals An investigation of the appearance of a long range nuclear potential in ultra low energy nuclear synthesis

2020 ◽  
Author(s):  
Shinsho Oryu ◽  
Takashi Watanabe ◽  
Yasuhisa Hiratsuka ◽  
Masayuki Takeda
Keyword(s):  
Long Range ◽  
Bound States ◽  
Wave Functions ◽  
Nuclear Potential ◽  
Range Potential ◽  
Nuclear Systems ◽  
Nuclear Synthesis ◽  
Three Body ◽  
Formula Type ◽  
Type Potential

A new potential, the generalgeneralparticleparticletransfertransferpotentialpotential: so called “GPT” potential was represented in the previous paper which indicates a Yukawa-type potential for shorter range, but a 1/r^n1/rn-type potential for longer range where n=2n=2 includes the Efimov-like potential in the hadron system. In order to confirm the existence of a GPT potential, we investigate the possibility of Cs+2d\rightarrow→La reaction on the three-ion quasi-molecule CsD_22 which is covered by twelve Pd or a CsD_22Pd_{12}12-cluster, where the three-body bound states and wave functions for D-Cs-D molecular and d-Cs-d nuclear systems are calculated. We obtain an approximate E2-transition from the molecular states to the nuclear states. The transition ratio between the short range nuclear potential with the 1/r^21/r2-type long range potential and without long range potential is W_{i\rightarrow f}^{E2';L}/W_{i\rightarrow f}^{E2';S}\approx 10^8Wi→fE2′;L/Wi→fE2′;S≈108. If the reaction Cs+2D\rightarrow→La is experimentally observed, then the existence of the GPT potential could be confirmed.

A Single-Band Constant-Confining-Potential Model for Self-Assembled InAs/GaAs Quantum Dots

2000 ◽  
Vol 642 ◽  
Author(s):  
M. Califano ◽  
P. Harrison
Keyword(s):  
Quantum Dots ◽  
Bound States ◽  
State Energy ◽  
Potential Model ◽  
Photoluminescence Spectra ◽  
Energy Eigenvalues ◽  
Confining Potential ◽  
Band Mixing ◽  
Structure Calculations ◽  
Good Agreement

ABSTRACTA simple and versatile numerical method for electronic structure calculations in InAs pyramidal dots is presented, and its predictions compared with both theoretical and experimental data. The calculated ground state energy eigenvalues agree well with those of more sophisticated treatments which take into account band mixing and the microscopic effects of the strain distribution. The number of electron bound states predicted is in excellent agreement with very recent calculations for strained quantum dots performed in the framework of the 8-band k · p theory. Very good agreement is obtained with both the number and the energy of the peaks in several experimental photoluminescence spectra. Furthermore our ca agreement with that deduced from capacitance and photoluminescence measurements.

QUARK MODEL WITH A REGULARIZED BREIT POTENTIAL

2009 ◽  
Vol 18 (03) ◽  
pp. 729-745 ◽  
Author(s):  
JIRIMUTU ◽  
HAI-JUN WANG ◽  
WEI-NING ZHANG ◽  
CHEUK-YIN WONG
Keyword(s):  
Quark Model ◽  
Long Range ◽  
Bound States ◽  
Bound State ◽  
Wave Functions ◽  
Confining Potential

The Breit interaction contains terms that are singular in nature and cannot be used non-perturbatively for quark–antiquark bound state studies. We regularize the Breit interaction by subtraction such that the interaction is not singular at the origin but the intermediate and long-range parts of the interaction remain unchanged. With the regularized quark–antiquark potential and the confining potential, the solution of [Formula: see text] bound states are therefore stable possessing wave functions that can be used for future applications in other study of scattering and reaction problems.

Superfluidity and Superconductivity

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Wave Packet ◽  
Long Range ◽  
Cooper Pair ◽  
Bose Condensation ◽  
Range Order ◽  
Condensed State ◽  
Long Range Order ◽  
Coherent Wave

Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the non-condensate states and are discussed in conjunction with Landau’s criterion for viscosity. Associated concepts of off-diagonal long-range order and the interpretation of <ψ> as a superfluid order parameter are also introduced. Anderson’s Bose-condensed state, as a phase-coherent wave packet superposition of number states, resolves issues of number conservation. Superconductivity involves bound Cooper pairs of electrons capable of Bose condensation and superfluid behavior. Correspondingly, the two-particle Green’s function has a term involving a product of anomalous bound-Cooper-pair condensate wave functions of the type F(1,2)=−i<(ψ(1)ψ(2))+>≠0, such that G2(1,2;1′,2′)=F(1,2)F+(1′,2′)+G˜2(1,2;1′,2′). Here, G˜2 describes the dynamics/excitations of the non-superfluid-condensate states, while nonvanishing F,F+ represent a phase-coherent wave packet superposition of Cooper-pair number states and off-diagonal long range order. Employing this form of G2 in the G1-equation couples the condensed state with the non-condensate excitations. Taken jointly with the dynamical equation for F(1,2), this leads to the Gorkov equations, encompassing the Bardeen–Cooper–Schrieffer (BCS) energy gap, critical temperature, and Bogoliubov-de Gennes eigenfunction Bogoliubons. Superconductor thermodynamics and critical magnetic field are discussed. For a weak magnetic field, the Gorkov-equations lead to Ginzburg–Landau theory and a nonlinear Schrödinger-like equation for the pair wave function and the associated supercurrent, along with identification of the Cooper pair density. Furthermore, Chapter 13 addresses the apparent lack of gauge invariance of London theory with an elegant variational analysis involving re-gauging the potentials, yielding a manifestly gauge invariant generalization of the London equation. Consistency with the equation of continuity implies the existence of Anderson’s acoustic normal mode, which is supplanted by the plasmon for Coulomb interaction. Type II superconductors and the penetration (and interaction) of quantized magnetic flux lines are also discussed. Finally, Chapter 13 addresses Josephson tunneling between superconductors.

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